Provide a Conterexample in a Finite Domain to Each Given

question 1

Essay

provide a conterexample in a finite domain to each given invalid argument.
-1. (∃x)(Gx • Hx)
2. (∃x)(Gx • Jx)
3. (∀x)(Jx ⊃ Kx) / (∃x)(Hx • Jx)

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Definitions:

Significance Level

A threshold used in hypothesis testing that determines the probability of rejecting a true null hypothesis.

Cottage Cheese

A soft, white cheese made from curds of slightly soured milk, often eaten as a healthy snack or side dish.

Ice Cream

A frozen dessert made from dairy products, flavorings, and sweeteners, often enjoyed as a treat or snack.

Denseness

In mathematics, it pertains to the property where every part of a given space is arbitrarily close to some element of a specific subset.